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Finding the Third Proportional to 97,826 and 155,494

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Solution

The third proportional to 97,826 and 155,494 is: 247,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,826 : 155,494 = 155,494 : x
  2. Step 2: Convert to fraction form
    97,826/155,494 = 155,494/x
  3. Step 3: Cross multiply
    97,826x = 155,494 × 155,494
  4. Step 4: Simplify right side
    97,826x = 24,178,384,036
  5. Step 5: Solve for x
    x = 24,178,384,036/97,826
  6. Step 6: Final answer
    x = 247,157.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.